17 citations · 18 across the 6 of their papers we have counts for
6 papers
The logarithmic -Laplacian on hyperbolic spaces
Jorge J. Betancor, Lourdes Rodr\'ıguez-Mesa
In this paper, the logarithmic -Laplacian operator on the hyperbolic space , with , is introduced. We prove that if is a l…
Extension theorems for logarithmic Schrödinger and discrete Laplacian operators
Jorge J. Betancor, Marta de León-Contreras, Lourdes Rodríguez-Mesa
In this paper we consider logarithmic operators in two different contexts: the adapted to (continuous) Schrödinger operators and the classical discrete setting. The Schrödinger ope…
-boundedness properties for some harmonic analysis operators defined by resolvents for a Laplacian with drift in Euclidean spaces
Jorge J. Betancor, Juan C. Fariña, Lourdes Rodríguez-Mesa
We consider the Laplacian with drift in defined by where $ν=(ν_1,\ldots,…
Harmonic analysis operators in the rational Dunkl settings
Víctor Almeida, Jorge J. Betancor, Juan C. Fariña +1
In this paper we study harmonic analysis operators in Dunkl settings associated with finite reflection groups on Euclidean spaces. We consider maximal operators, Littlewood-Paley f…
Discrete harmonic analysis associated with ultraspherical expansions
Jorge J. Betancor, Alejandro J. Castro, Juan C. Fariña +1
We study discrete harmonic analysis associated with ultraspherical orthogonal functions. We establish weighted l^p-boundedness properties of maximal operators and Littlewood-Paley…
Square functions in the Hermite setting for functions with values in UMD spaces
Jorge J. Betancor, Alejandro J. Castro, Jezabel Curbelo +2
In this paper we characterize the Lebesgue Bochner spaces , , by using Littlewood-Paley -functions in the Hermite setting, provided that is…